Both the Galapagos Islands and the island of Naura are on the equator, but the Galapagos Islands are at 90.30°W whereas the island of Naura is at 166.56°E. How far is it from the Galapagos Islands to Naura traveling over the Pacific ocean along the equator, correct to the nearest km?

1 answer
Question:

Both the Galapagos Islands and the island of Naura are on the equator, but the Galapagos Islands are at 90.30°W whereas the island of Naura is at 166.56°E. How far is it from the Galapagos Islands to Naura traveling over the Pacific ocean along the equator, correct to the nearest km?

Answers

Answer:11521 kmStep-by-step explanation:The computation is given below: But prior to reaching the final solution first the following calculations need to be computed Angle between the Galapagos and Nauru is = 90.30° + 166.56° = 256.86° As we know that the total of angles is  360 degrees Now the major arc and the minor arc is = 360° -  256.86° = 103.14° So,  the angles between galapagos islands is = 180°  - 90.30° = 89.70° And, angles between the naura island is = 180°  - 166.56° = 13.44° Now the sum of this two island is = 89.70°  + 13.44° = 103.14° Therefore The length is [tex]= \frac{\pi r}{180^{\circ}} \times \theta \\\\ = \frac{6,400 \pi}{180^{\circ}} \times 103.14^{\circ}[/tex]= 11521 km

Similar Solved Questions

2 answers

Which of the following WAS NOT TRUE of American Naval Captain Stephen Decatur's role in the War with Tripoli? Not one American died in the raid, Decatur and his men captured and burned Barbary pirate ships in Tripoli. Decatur and his men burned the captured U.S. ship Philadelphia so that the pirates could not use it Decatur and his men were captured by the pirates of Tripoli, Hihi I need help this is timed

Which of the following WAS NOT TRUE of American Naval Captain Stephen Decatur's role in the War with Tripoli? Not one American died in the raid, Decatur and his men captured and burned Barbary pirate ships in Tripoli. Decatur and his men burned the captured U.S. ship Philadelphia so that the pirates...
2 answers

If you earn 96 aweek that How much month

if you earn 96 aweek that How much month...
1 answer

Identify the nations that made up the Triple Alliance.

Identify the nations that made up the Triple Alliance....
1 answer

Which of the following is an element of custodial management? Introducing new species into an ecosystem Being able to control an animal’s environment Using forest management principles in woodlands Repairing any part of the environment destroyed by a natural disaster

Which of the following is an element of custodial management? Introducing new species into an ecosystem Being able to control an animal’s environment Using forest management principles in woodlands Repairing any part of the environment destroyed by a natural disaster...
1 answer

Which describes an object in a projectile motion

which describes an object in a projectile motion...
1 answer

Which describes the graph of the inequality g(x)>2√3x+2? A. Shading above a solid line B. Shading above a dotted line C. Shading below a dotted line D. Shading below a solid line

Which describes the graph of the inequality g(x)>2√3x+2? A. Shading above a solid line B. Shading above a dotted line C. Shading below a dotted line D. Shading below a solid line...
2 answers

Which two statements represent the change in agriculture due to biotechnology ?A reduced risk of crop damageB increased productivity of cropsC forecasted climate changesD increased crop growing seasonE improved resistance to pesticides​

Which two statements represent the change in agriculture due to biotechnology ?A reduced risk of crop damageB increased productivity of cropsC forecasted climate changesD increased crop growing seasonE improved resistance to pesticides​...
1 answer

Standard form of 62.321​

standard form of 62.321​...
2 answers

Can someone please help me???

Can someone please help me???...
1 answer

“. . . Our decision about energy will test the character of the American people and the ability of the President and the Congress to govern. This difficult effort will be the ‘moral equivalent of war’— except that we will be uniting our efforts to build and not destroy. . . .” — President Jimmy Carter Address to the Nation, April 18, 1977 President Carter put these ideas into practice by

“. . . Our decision about energy will test the character of the American people and the ability of the President and the Congress to govern. This difficult effort will be the ‘moral equivalent of war’— except that we will be uniting our efforts to build and not destroy. . . .” — Preside...
1 answer

In the Midwest, where tornadoes are common, we would most likely see many A) tin roofs. B) storm cellars. C) out buildings. D) sheet metal buildings. (( I'm doing this for students ))

In the Midwest, where tornadoes are common, we would most likely see many A) tin roofs. B) storm cellars. C) out buildings. D) sheet metal buildings. (( I'm doing this for students ))...
1 answer

What contributed to Atlanta's rapid economic recovery after the Civil War?

What contributed to Atlanta's rapid economic recovery after the Civil War?...
1 answer

Which behavior is most likely to indicate alcohol abuse? A. Sakim has a couple of drinks at social gatherings. B. Salina gets excited at the prospect of trying a new drink. C. Rashelle needs more than the usual number of drinks to feel high.

Which behavior is most likely to indicate alcohol abuse? A. Sakim has a couple of drinks at social gatherings. B. Salina gets excited at the prospect of trying a new drink. C. Rashelle needs more than the usual number of drinks to feel high....
2 answers

PLEASE HELP ASAP !! Which graph represents a solution to 6x + 4 = 31?

PLEASE HELP ASAP !! Which graph represents a solution to 6x + 4 = 31?...
1 answer

Examines different forms of communication within the media for time travel.

examines different forms of communication within the media for time travel....
1 answer

The term channel in communication means a. the context of the communication b. the medium through which a message travels from sender to receiver c. the volume at which a message is received d. the process of changing thoughts into symbols

The term channel in communication means a. the context of the communication b. the medium through which a message travels from sender to receiver c. the volume at which a message is received d. the process of changing thoughts into symbols...
1 answer

Why do you think white colonist respond with such fear and paranoia to the possibility of slave revolt , even in situations where there was no evidence of conspiracy?

why do you think white colonist respond with such fear and paranoia to the possibility of slave revolt , even in situations where there was no evidence of conspiracy?...
2 answers

A mouse ran a 360 centimeters course in 9 seconds , how fast did it run ?

A mouse ran a 360 centimeters course in 9 seconds , how fast did it run ?...
1 answer

During the third phase of the 3-x-3 writing process, Stephen asks himself the following questions about his message: Are the ideas understandable? Have I used plain English and familiar words? If the message is passed on to others, will they need further explanation? In asking these questions, he is evaluating his message for _ A. correctness B. tone C. clarity D. goodwill

During the third phase of the 3-x-3 writing process, Stephen asks himself the following questions about his message: Are the ideas understandable? Have I used plain English and familiar words? If the message is passed on to others, will they need further explanation? In asking these questions, h...
1 answer

Help. Find the slop and reduce

Help. Find the slop and reduce...

-- 0.012765--